Lattice Models of Ionic Systems
摘要
A theoretical analysis of Coulomb systems on lattices in general dimensions is presented. The thermodynamics is developed using Debye-Huckel theory with ion-pairing and dipole-ion solvation, specific calculations being performed for 3D lattices. As for continuum electrolytes, low-density results for sc, bcc and fcc lattices indicate the existence of gas-liquid phase separation. The predicted critical densities have values comparable to those of continuum ionic systems, while the critical temperatures are 60-70% higher. However, when the possibility of sublattice ordering as well as Debye screening is taken into account systematically, order-disorder transitions and a tricritical point are found on sc and bcc lattices, and gas-liquid coexistence is suppressed. Our results agree with recent Monte Carlo simulations of lattice electrolytes.
引用
@article{arxiv.cond-mat/0112238,
title = {Lattice Models of Ionic Systems},
author = {Vladimir Kobelev and Anatoly B. Kolomeisky and Michael E. Fisher},
journal= {arXiv preprint arXiv:cond-mat/0112238},
year = {2009}
}
备注
25 pages, 3 figures, ReVTeX 4, Submitted to J. Chem. Phys